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Finding the Fourth Proportional to 52,353.32, 72,239.46 and 29,993

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Solution

The fourth proportional to 52,353.32, 72,239.46 and 29,993 is: 41,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,353.32 : 72,239.46 = 29,993 : x
  2. Step 2: Convert to fraction form
    52,353.32/72,239.46 = 29,993/x
  3. Step 3: Cross multiply
    52,353.32x = 72,239.46 × 29,993
  4. Step 4: Simplify right side
    52,353.32x = 2,166,678,123.78
  5. Step 5: Solve for x
    x = 2,166,678,123.78/52,353.32
  6. Step 6: Final answer
    x = 41,385.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.